Apply the quotient rule, which is:
and .
To find :
Apply the power rule: goes to
To find :
Differentiate term by term:
The derivative of the constant is zero.
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result is:
Now plug in to the quotient rule:
The answer is:
1 3*x ------- - ---------- 3*x + 5 2 (3*x + 5)
/ 3*x \ 6*|-1 + -------| \ 5 + 3*x/ ---------------- 2 (5 + 3*x)
/ 3*x \ 54*|1 - -------| \ 5 + 3*x/ ---------------- 3 (5 + 3*x)